I made a program that looks for close to whole number solutions, I set it at decimal part equal
to 0.25. You cam choose how may values for t you want to try, and by what to increments
them. Here are the results for incrementing by 0.25 seconds then 0.05 seconds. Constant to all
of this is hydrogen and carbon. The smaller integer value of seconds gives carbon (6 protons at
1 second) and the largest value integer values of seconds give hydrogen (1 proton at six
seconds) and outside of that for the other integer values of protons you run are at t>0 and t<1.
Equation 1 really has some interesting properties. Here are two runs of the program( depart is
just me verifying that my boolean test was working right to sort out whole number solutions):!
By what value would you like to increment?: 0.25
How many values would you like to calculate for t in equation 1 (no
more than 100?): 100
24.1199 protons 0.250000 seconds 0.119904 decpart
12.0600 protons 0.500000 seconds 0.059952 decpart
8.0400 protons 0.750000 seconds 0.039968 decpart
6.0300 protons 1.000000 seconds 0.029976 decpart
4.0200 protons 1.500000 seconds 0.019984 decpart
3.0150 protons 2.000000 seconds 0.014988 decpart
2.1927 protons 2.750000 seconds 0.192718 decpart
2.0100 protons 3.000000 seconds 0.009992 decpart
1.2060 protons 5.000000 seconds 0.205995 decpart
1.1486 protons 5.250000 seconds 0.148567 decpart
1.0964 protons 5.500000 seconds 0.096359 decpart
1.0487 protons 5.750000 seconds 0.048691 decpart
1.0050 protons 6.000000 seconds 0.004996 decpart
0.2487 protons 24.250000 seconds 0.248659 decpart
0.2461 protons 24.500000 seconds 0.246121 decpart
0.2436 protons 24.750000 seconds 0.243635 decpart
By what value would you like to increment?: 0.05
How many values would you like to calculate for t in equation 1 (no
more than 100?): 100
40.1998 protons 0.150000 seconds 0.199837 decpart
30.1499 protons 0.200000 seconds 0.149879 decpart
24.1199 protons 0.250000 seconds 0.119904 decpart
20.0999 protons 0.300000 seconds 0.099918 decpart
17.2285 protons 0.350000 seconds 0.228500 decpart
15.0749 protons 0.400000 seconds 0.074938 decpart
12.0599 protons 0.500000 seconds 0.059950 decpart
10.0500 protons 0.600000 seconds 0.049958 decpart
8.0400 protons 0.750000 seconds 0.039966 decpart
7.0941 protons 0.850000 seconds 0.094088 decpart
6.0300 protons 1.000000 seconds 0.029975 decpart
5.2435 protons 1.150000 seconds 0.243457 decpart
5.0250 protons 1.200000 seconds 0.024980 decpart
4.1586 protons 1.450000 seconds 0.158605 decpart
4.0200 protons 1.500000 seconds 0.019985 decpart
3.1737 protons 1.899999 seconds 0.173673 decpart
3.0923 protons 1.949999 seconds 0.092296 decpart
3.0150 protons 1.999999 seconds 0.014989 decpart